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Titlebook: Big Data Integration Theory; Theory and Methods o Zoran Majkić Textbook 2014 Springer International Publishing Switzerland 2014 Algebras fo

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The Properties of DB Category,It is demonstrated that . is a V-category enriched over itself..Finally, we present the inductive principle for objects and the coinductive principle for arrows in the . category, and demonstrate that its “computation” Kleisly category is embedded into the database . category by a faithful forgetful functor.
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1868-0941 atabases, universal algebra considerations and algebraic lattices of the databases; explores the relationship of the database weak monoidal topos w.r.t. intuitionistic logic.978-3-319-35539-9978-3-319-04156-8Series ISSN 1868-0941 Series E-ISSN 1868-095X
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Introduction to C++ Programming and Graphicshe integrity-constraints for schemas. This representation is used to define the database mapping sketches (small categories), based on the fact that each schema has an identity arrow (mapping) and that the mapping-arrows satisfy the associative low for the composition of them.
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Introduction to C++ Programming and Graphicsfunctions and our universe must include the infinite set of distinct Skolem constants (for recursive schema-mapping or schema integrity constraints), our logic is then an intermediate or superintuitionistic logic in which the weak excluded middle formula ¬.∨¬¬. is valid. Thus, this weak monoidal top
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Composition of Schema Mappings: Syntax and Semantics,he integrity-constraints for schemas. This representation is used to define the database mapping sketches (small categories), based on the fact that each schema has an identity arrow (mapping) and that the mapping-arrows satisfy the associative low for the composition of them.
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Weak Monoidal , Topos,functions and our universe must include the infinite set of distinct Skolem constants (for recursive schema-mapping or schema integrity constraints), our logic is then an intermediate or superintuitionistic logic in which the weak excluded middle formula ¬.∨¬¬. is valid. Thus, this weak monoidal top
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Introduction and Technical Preliminaries,n order to render this monograph more self-contained. It is important also due to the fact that usually the database experts do a lot with logics and relational algebras, but much less with programming languages (their denotational and operational semantics) and still much less with categorial seman
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Definition of DB Category,ppings. The objects of this category are the instance-databases (composed of the relational tables and an empty relation ⊥) and every arrow is just a set of functions (mapping-interpretations defined in Chap. .) from the set of relations of the source object (a source database) into a particular rel
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Functorial Semantics for Database Schema Mappings,e applications of this theory to data integration/exchange systems with an example for query-rewriting in GAV data integration system with (foreign) key integrity constraints, based on a coalgebra semantics. In the final section, a fixpoint operator for an infinite canonical solution in data integra
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